On the Green function to the biharmonic equation on <i>n</i> -dimensional sphere

Abstract Homogeneous and inhomogeneous biharmonic equation are considered on the n -dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. Additionally, explicit representations of the Green function are found for some sets of parameters.

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Publication Details

Journal
Analysis
Published
2026-04-20
DOI
https://doi.org/10.1515/anly-2026-0005
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

On the Green function to the biharmonic equation on n -dimensional sphere

Ilona Iglewska-Nowak
Analysis
Algebraic and Geometric Analysis
article

On the Green function to the biharmonic equation on n -dimensional sphere

Ilona Iglewska-Nowak
article en

Abstract

Abstract Homogeneous and inhomogeneous biharmonic equation are considered on the n -dimensional unit sphere. The Green function is given as a series of Gegenbauer polynomials. Additionally, explicit representations of the Green function are found for some sets of parameters.

AnalysisVol. 46(2)
West Pomeranian University of Technology in Szczecin (PL)
Openalex Percentile: Top 11%
Algebraic and Geometric Analysis
DOIOpen Access PDFOpenAlex
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On the Green function to the biharmonic equation on <i>n</i> -dimensional sphere — Ilona Iglewska-Nowak · Analysis (2026) | TGRS Research Map | TGRS